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Finding the Fourth Proportional to 497,145.40, 745,718.10 and 164,721.40

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Solution

The fourth proportional to 497,145.40, 745,718.10 and 164,721.40 is: 247,082.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,145.40 : 745,718.10 = 164,721.40 : x
  2. Step 2: Convert to fraction form
    497,145.40/745,718.10 = 164,721.40/x
  3. Step 3: Cross multiply
    497,145.40x = 745,718.10 × 164,721.40
  4. Step 4: Simplify right side
    497,145.40x = 122,835,729,437.34
  5. Step 5: Solve for x
    x = 122,835,729,437.34/497,145.40
  6. Step 6: Final answer
    x = 247,082.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.